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Prog. Theor. Phys. Vol. 43 No. 3 (1970) pp. 742-768

On the Application of the Veneziano Amplitude to Electromagnetic Mass Differences of π and K Mesons

Toshiyuki Minamikawa,^* Ichiro Shibasaki and Tsunetoshi Watanabe

Department of Physics, Tokyo University of Education, Tokyo
^*Department of Physics, Tokyo University of Mercantile Marine, Tokyo

(Received October 2, 1969)

Abstract:

Applying the leading Veneziano amplitude to πρ→ηω₈, the product of the coupling constants G_A2ηπG_A2ρω8 is expressed by 4G_ηρρG_ω8ρπ. Using this result, the Veneziano amplitudes of πρ→πρ and Kρ→K_ω8 are applied to the calculation of electromagnetic mass difference of π and K mesons under the assumption of the field current identity, SU(3) symmetry, and gauge invariance. The results are quite excellent, namely Δm_π = 7.5 MeV and Δm_K = -5.5 MeV. Δm_K can be made negative by a term corresponding to tadpole diagram exchanging A₂ meson. In terms of the Veneziano model and field algebra, the whole integral is convergent, that is, the high energy behavior is milder by s^-2 than Harari's argument. Further we determine the coupling constants G_ωρπ ≈24 MeV^-1 and the strengths G_S = 3.1 and δ= G_S/G_D = 0.42 of A₁ →ρπ decay by assuming Γ_ρππ = (5/7)m_π. This gives Γ_A1ρπ ≈85 MeV.

URL : http://ptp.ipap.jp/link?PTP/43/742/
DOI : 10.1143/PTP.43.742

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References:

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 44 No. 4 (1970) pp. 1022-1033 :

   Electromagnetic Mass Difference of Hadrons and the Parton Model

   Taizo Muta

2. Progress of Theoretical Physics Vol. 44 No. 4 (1970) pp. 1098-1099 :

   Comments on the Electromagnetic Form Factors and Mass Differences

   Setsuko Hori and Masataka Hosoda

3. Progress of Theoretical Physics Vol. 46 No. 2 (1971) pp. 672-673 :

   Electromagnetic Mass Difference of Pion

   T. C. Chia

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